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The authors investigate so-called \(p\)-cross-section bodies \(C_pK(p>-1)\) whose radial function in any direction \(u\in S^{d-1}\) is the \(p\)-th mean of the \((d-2)\)-volumes of hyperplane sections (orthogonal to \(u)\) of a convex body \(K\subset\mathbb{R}^d\). They prove that \(C_1K\) is convex, whereas \(C_pK\) is generally not convex for \(p>1\).
Gardner, R. J., Giannopoulos, A. A.
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THE RADAR CROSS SECTION OF A SEMI-INFINITE BODY
The concept of cross section as applied to a semi-infinite scattering body seems to require some clarification. The need for careful formulation of the problem arises because of the simultaneous occurrence of two characteristic lengths tending to infinity: the range from the radar to the target, and the size of the target.
H. Brysk
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Cross Sections in the Three-Body Problem
Journal of Dynamics and Differential Equations, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
McCord, Christopher, Meyer, Kenneth R.
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Adolescents and Body Image: A Cross Sectional Study
The Indian Journal of Pediatrics, 2015To assess proportion of adolescents perceiving their body image as normal and to study association between body shape, self-esteem and body mass index; each with body image perception.A cross sectional study was conducted among pre university college (PUC) students of Udupi taluk.
Mannat M, Singh +4 more
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Health and ageing: A cross-sectional study of body composition
Clinical Nutrition, 2013The aim of this work was to provide a complete profile of body composition (BC) in healthy subjects and to investigate age and gender-related differences by dual-energy X-ray absorptiometry (DXA) and its latest developments.Italian volunteers among blood donors were enrolled in 5 different age bands (from 18 to 70 years old) to reach the threshold of ...
A. Bazzocchi +7 more
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The cross-section body, plane sections of convex bodies and approximation of convex bodies, I
Geometriae Dedicata, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Makai, E. jun., Martini, H.
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Convex bodies with non‐convex cross‐section bodies
Mathematika, 1999For \(K\) a convex body in \(\mathbb{R}^d\), the inner \((d-1)\)-quermass at direction \(u\in S^{d-1}\) is defined by \[ m_K(u)= \max_{t\in R}\lambda_{d-1} \bigl( K\cap (u^\perp+ tu)\bigr), \] where \(\lambda_{d-1}\) denotes the \((d-1)\)-dimensional Lebesgue measure. The cross-section body \(CK\) of \(K\), introduced by H.
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The advantages and limitations of cross-sectional body composition analysis
Current Opinion in Supportive & Palliative Care, 2011Cross-sectional (C-S) imaging is now commonly used to measure body composition in clinical studies. This review highlights the advantages, limitations and suggested future directions for this technique.Current understanding of C-S imaging reproducibility, tissue identification and segmentation methods, comparison between imaging techniques and ...
Alisdair J, MacDonald +2 more
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